The surface area of an object is the total area of the outside surfaces of the object.

 

The surface area of certain simple objects such as cubes and prisms can be calculated using formulae.

The units of surface area include cm2 and m2.

 

Volume and surface area formulae

Only the cube and cuboid formulae need to be memorised.

 

Solid Name
Diagram
Surface Area

Cube

Y9_Surface_Area_01.gif

S = 2l+ 2l+ 2l2

   = 6l2

Cuboid or

Rectangular

Prism

Y9_Surface_Area_02.gif

S = 2bh + 2hl + 2bl

Triangular

Prism

Y9_Surface_Area_03.gif

 

S = bl + al + cl + 2 × (0.5bh)

where the area of each end is 0.5bh

Pyramid
Y9_Surface_Area_04.gif
S = sum of areas of each face